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230303300 = 225215714669
BaseRepresentation
bin11011011101000…
…10011001000100
3121001100121201212
431232202121010
5432424201200
634504110552
75464355123
oct1556423104
9531317655
10230303300
11109000307
1265165458
1338937356
142282daba
1515343035
hexdba2644

230303300 has 36 divisors (see below), whose sum is σ = 502975620. Its totient is φ = 91528320.

The previous prime is 230303291. The next prime is 230303303. The reversal of 230303300 is 3303032.

It can be written as a sum of positive squares in 6 ways, for example, as 6980164 + 223323136 = 2642^2 + 14944^2 .

It is not an unprimeable number, because it can be changed into a prime (230303303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8366 + ... + 23034.

It is an arithmetic number, because the mean of its divisors is an integer number (13971545).

Almost surely, 2230303300 is an apocalyptic number.

230303300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251487810).

230303300 is an abundant number, since it is smaller than the sum of its proper divisors (272672320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230303300 is a wasteful number, since it uses less digits than its factorization.

230303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14840 (or 14833 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 14.

The square root of 230303300 is about 15175.7470985780. The cubic root of 230303300 is about 612.9617675682.

Adding to 230303300 its reverse (3303032), we get a palindrome (233606332).

The spelling of 230303300 in words is "two hundred thirty million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 14669 15700 29338 58676 73345 146690 293380 366725 733450 1466900 2303033 4606066 9212132 11515165 23030330 46060660 57575825 115151650 230303300